1025018100 has 108 divisors (see below), whose sum is σ = 3316593280. Its totient is φ = 264513600.

The previous prime is 1025018089. The next prime is 1025018101. The reversal of 1025018100 is 18105201.

It is a super-2 number, since 2×1025018100² = 2101324210655220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025018101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9531 + ... + 46269.

Almost surely, 2^1025018100 is an apocalyptic number.

1025018100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025018100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658296640).

1025018100 is an abundant number, since it is smaller than the sum of its proper divisors (2291575180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025018100 is a wasteful number, since it uses less digits than its factorization.

1025018100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36790 (or 36780 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1025018100 is about 32015.9038604254. The cubic root of 1025018100 is about 1008.2707724013.

The spelling of 1025018100 in words is "one billion, twenty-five million, eighteen thousand, one hundred".